2854560 has 96 divisors (see below), whose sum is σ = 9495360. Its totient is φ = 718848.

The previous prime is 2854549. The next prime is 2854561. The reversal of 2854560 is 654582.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2854561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8964 + ... + 9276.

It is an arithmetic number, because the mean of its divisors is an integer number (98910).

2^2854560 is an apocalyptic number.

2854560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747680).

2854560 is an abundant number, since it is smaller than the sum of its proper divisors (6640800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2854560 is a wasteful number, since it uses less digits than its factorization.

2854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2854560 is about 1689.5443172643. The cubic root of 2854560 is about 141.8555696058.

It can be divided in two parts, 285 and 4560, that multiplied together give a square (1299600 = 1140²).

The spelling of 2854560 in words is "two million, eight hundred fifty-four thousand, five hundred sixty".